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Finding the Third Proportional to 6,902.63 and 10,934.63

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Solution

The third proportional to 6,902.63 and 10,934.63 is: 17,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.63 : 10,934.63 = 10,934.63 : x
  2. Step 2: Convert to fraction form
    6,902.63/10,934.63 = 10,934.63/x
  3. Step 3: Cross multiply
    6,902.63x = 10,934.63 × 10,934.63
  4. Step 4: Simplify right side
    6,902.63x = 119,566,023.89
  5. Step 5: Solve for x
    x = 119,566,023.89/6,902.63
  6. Step 6: Final answer
    x = 17,321.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.